Question

Suppose the correlation between SAT Verbal scores and Math scores is 0.57 and that these scores are normally distributed. If a student's Verbal score places her at the 90th percentile, at what percentile would you predict her Math score to be?

Answer 1

You are evidently studying bivariate distributions, and I am not an expert on that subject. Convert the 90th percentile to the number of standerd deviations from the mean score. I get 1.28 sigma. With a correlation of r=0.57, the number 1-r^2 = 0.675 probably plays a role in the number of standard deviations from the mean Math score. That would be 0.864 sigma, or the 80th percentile.